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Finding the Fourth Proportional to 313,632.80, 470,254.80 and 180,447.20

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Solution

The fourth proportional to 313,632.80, 470,254.80 and 180,447.20 is: 270,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,632.80 : 470,254.80 = 180,447.20 : x
  2. Step 2: Convert to fraction form
    313,632.80/470,254.80 = 180,447.20/x
  3. Step 3: Cross multiply
    313,632.80x = 470,254.80 × 180,447.20
  4. Step 4: Simplify right side
    313,632.80x = 84,856,161,946.56
  5. Step 5: Solve for x
    x = 84,856,161,946.56/313,632.80
  6. Step 6: Final answer
    x = 270,558.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.